Обработка данных / ElemTreat
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(3.17) |
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* !$ 6 &&-. |
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81&25! &(+,&(" *($!'!3 '#, (3.1) 6'#($+" # ' ) 0 '1331 !+! (*-
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#& '!# +,&- / %& '#! ( /13 $, &!3 $-4!'+!#, #& '!# +,-
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Z , !' +,*1" '$"*, (3.8): |
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#! $-$ 6- ' ($ 6+!$- 6+" +:) / 2 +!4 '#$( ( /13 $ 81&2-
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(3.19) |
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/6 k, P, Q, R — |
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'& , 4# ' 6& *&(4 &! 6'#($!#'" '+ 61:;!3 $- (9 &! 3: |
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Z = k |
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, &(06 3 |
$- (9 &!" 6+" 4('#&-. !*$ 6&-. |
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∂Z = k |
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PAP −1 , ∂Z |
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#& '!# +,&1: / %& '#, 5 + ' ) (*& *( !'(#, $ $!6 , (&(+ -
/!4& 3 (3.14) ! (3.17):
εZ = |
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= 
P2ε2A + Q2ε2B + R2εC2 .
4 $!6& , 4# ! $ 6(&& 3 !3 , !3 " 19 $-4!'+ &&- ' 6&!
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+" !++:'# (5!! () #- ' 81&25! 0 #! ( (3.19) (''3 # !3 $-4!'-
+ &! )< 3( "3 / 2 1/ $ / 2 &1'( V &( '& $ |
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V = |
πd 2 |
h . |
(3.20) |
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& 0 $ "#& '#! α. |
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!'+ && *&(4 &! )< 3( 2 &1'( V |
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!&!3(" $ $&!3(&! .( (2# *($!'!3 '#! (3.20) ! (''3 # &&- $-% !3 -, '&(4(+( $- (*!3 #& '!# +,&1: / %& '#, !*3 - &!" )< 3( 2 &1'(
εV = |
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= 4εd2 + εh2 + επ2 , |
(3.21) |
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V = |
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(3.22) |
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!3$ + 3 π0 *6 ', ) *&(4 & 2 1/+ && *&(4 &! 4!'+( π. +
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$( 3(" 4('#, 6 +" # #& '!# +,&1: / %& '#, επ, 2 # (" $. 6!# $ $- (9 &! / %& '#! 6 + &!" )< 3( 2 &1'(. '$ 31 '3-'-
+1 / %& '#, π − π0 "$+" #'" '!'# 3(#!4 '2 0, & 5 &21 5 - + ' ) (*& 6 +(#, &!9 !*+ 9 &&-3 ' ' ) 3, (''3(# !$(" $--
(9 &! (3.20) 2(2 81&25!: # . & *($!'!3-. ( /13 $.
)-4& 2 +!4 '#$ *&(4(;!. 5!8 $ π0 ) #'" #(2!3, 4# )- -
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/ %& '#, *1+,#(#( εV, #. . 6 +9& |
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επ2 |
<< 4εd2 + εh2 . |
(3.23) |
/6( $ $- (9 &!! (3.21) '+(/( 3-3 επ2 3 9& |
& ) 4,. |
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6 +!3 & ). 6!3 2 +!4 '#$ *&(4(;!. 5!8 $ π0 6+" 2 &- 2 #& / !3 (. 1'#, 1 &(% / 2 &1'( +14 &- *&(4 &!" d = 20 33 ! h = 40 33. ! $-) (&& 0 6 $ !# +,& 0 $ "#& '#! α = 0,95
$-4!'+ &- d = 0,05 33 ! h = 0,5 33. ) (#!# $&!3(&! , 4# |
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!*3 &!! 6!(3 # ( d !' +,* $(+(', ) + # 4&(" 3 # 6!2(, 4 3 |
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!*3 &!! $-' #- h. (# 3 )-+! (''4!#(&- #& '!# +,&- / %& - '#! εd = 0,0025 ! εh = 0,0125. -4!'+ &! ($ 0 4('#! (3.23) 6( #
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4εd2 + εh2 ≈ 2 10−4. + 6 $(# +,& , $ +!4!&( επ2 |
6 +9&( )-#, |
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3 &,% 2 10−4. + 9!3 επ2 ≤ 2 10−6 . /6( επ ≤ |
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10−3 ≈ |
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0,15 % |
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( 2 1/+ &! ' *($-% &! 3), ! ' #$ #'#$1:;(" |
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& '#, π = εππ ≤ 0,004. #':6( '+ 61 #, 4# *&(4 &! 4!'+( π, 2 1/-
+ && 6 #-'"4&-. 6 + 0 3,142, 6('# |
& ) 9!3 3(+-0 $2+(6 $ - |
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/ %& '#, *1+,#(#( εV. |
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,, 6'#($+"" $ (3.22) 4!'+ &&- *&(4 &!" d |
! h , $-4!'+" 3 |
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= 4189 333. $- (9 &!! #& '!- |
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# +,& 0 / %& '#! (3.21) |
#) '!3 |
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επ . /6( εV = |
4εd2 + εh2 |
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≈ 0,014. (# 3 $-4!'+" 3 ()' +:#&1: - |
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/ %& '#, |
V = εV V |
= 56 333. |
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2 &4(# +,&-0 *1+,#(# 3 9& *( !'(#, |
$ $!6 : V = (4189 ± |
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± 56) 333 |
! 6 $ !# +,& 0 $ "#& '#! α = 0,95 . |
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*(2+:4 &! 6(&& / ( (/ (8( *(3 #!3, |
4# ' $ % &'#$ $(&! |
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. 6!#'" $- +&"#, & 2 # - 6$( !# +,&- !*3 &!". (''3 # !3 $ 2(4 '#$ !3 ( '!#1(5!:, ' 2 # 0 '#16 - '#(+2!$(:#'" $ +() -(# & 0 () # « 6 + &! 3 3 $ !& 5!! ' 3 ;,: # !8!- +" & / 6$ '(».
!8!+" &-0 6$ ' 6'#($+" # ' ) 0 6$ 2 1/+- / !* (+,- &- +(#8 3-: $ .&::, !3 :;1: (6!1' r ! &!9&:: ' (6!1' 3 R.
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+(#8 3. 3 !& 5!! J # +(, 3 ; && / &( &!9&:: +(#8 - 31, 3 9 # )-#, $-4!'+ & '+ 61:; 0 8 31+ , 2 # (" $-$ 6!#'" '#16 (3! 6 $- +& &! 3 72' !3 (:
J = |
mgRrT 2 |
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(3.24) |
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4π2 L |
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/6 m — '133( &(" 3(''( &!9& 0 |
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6 &(4(+ 3 -# $ 6+(/( #'" 5 &!#, 4!'+ 2 + )(&!0 nT,
& ). 6!3 6+" !*3 &!" 3 3 ( !& 5!! J ' 3(2'!3(+,& 0 # 4& - '#,:.
*3 &! ! 6( T "$+" #'" 2 '$ &&-3, #.2. $ -# !*3 " #'" $ 3" t, *( 2 # &!9&"" +(#8 3( ' $ %!# nT 2 + )(&!0. &(4 &!! 6( 6 +" #'" #& % &! 3: T = t / nT. 4!#(" $ +!4!&1 nT
5 +-3 4!'+ 3, 2 # 6 +" #'" # 4& ( nT = 0), $- (*!3 ()' - +:#&1: ! #& '!# +,&1: / %& '#! $-4!'+ &!" ! 6(
T = |
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, εT = |
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(3.25) |
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/ %& '#, 3 3 ( !& 5!! εJ 4 * #& '!# +,&- / %& '#! $ +!4!&, $. 6";!. $ ($1: 4('#, (3.24):
εJ = 
ε2m + ε2R + ε2r + ε2L + 4εT2 + ε2g + 4ε2π .
(2 ! $ 6-61; 3 !3 , '#($!3 $ 4!'+ π 2 +!4 '#$ *&(2 $, 6 '#(# 4& 6+" & ) 9 &!" '+ 6&!3 '+(/( 3-3 6 2 & 3 ' ($& &!: ' '#(+,&-3! '+(/( 3-3!.
/ %& '#! $ +!4!& R, r, L, m ! g 6 +":#'" 3 # 6(3! !."3-. !*3 &!0. + 6 $(# +,& , 6+" 1$ +!4 &!" # 4& '#! 6 + - &!" 3 3 ( !& 5!! &(3 '#( #'" 3(2'!3(+,& 13 &,%!#, / %- & '#, 6 + &!" ! 6( 2 1#!+,&-. 2 + )(&!0. * (3.25) $!6& , 4#
6+" 7# / & ). 6!3 1$ +!4!$(#, 4!'+ 2 + )(&!0 nT.
( (2#!2 4!'+ nT 6 +":# !* 1'+ $!" |
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4 εT2 << εm2 + εR2 + εr2 + εL2 + εg2 . |
(3.26) |
) *&(4!3 E2 ($1: 4('#, & ($ &'#$( (3.26) ! )16 3 |
&!3(#, |
6 '+ $(3! «3& / 3 &,% » #+!4! &( 6$( "62(. /6( & ($ &'#-
$ (3.26) ) (*1 #'" 2 $!61 |
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4 εT2 ≤ E2 / 100 !+! εT2 ≤ E2 / 400 . |
(3.27) |
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* (3.27) ! (3.25) +14!3 & ($ &'#$ 6+" 6 + &!" # )1 3 / 4!'+( 2 + )(&!0:
nT ≥ 20 |
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(3.28) |
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'+ 6& & ($ &'#$ 6( # $ *3 9& '#, |
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(3.28), 6+" 5 &2! 4!'+( nT & ). 6!3 19 *&(#, ! 6 2 + )(&!0 T.(&& #!$ 4! (* %( #'" '+ 61:;!3 ) (* 3. &(4(+( & - ) +,% 31 4!'+1 2 + )(&!0 (5 − 10) &(. 6!#'" !)+!9 && *&(4 &!
! 6( T. 3 ;,: & ($ &'#$( (3.28) (''4!#-$( #'" 4!'+ nT, 2 # ' #$ #'#$1 # 3!&!3(+,& 31 *&(4 &!: #& '!# +,& 0 / %-
& '#! εJ. (# 3 ' !' +,* $(&! 3 +14 && / 4!'+( nT 72' !3 &- #(+,& 6 +" #'" & $ () + # 4& ) *&(4 &! ! 6( T. '+ !*3 &!" $ +!4!& R, r, L, m ! g $' & ). 6!3- 4!'+ &&- *&(4 &!"6'#($+" #'" $ 8 31+1 (3.24) 6+" $-4!'+ &!" 3 3 ( !& 5!! J !'- '+ 61 3 / # +(. / %& '#! (()' +:#&- R, r, L, m, g !
#& '!# +,&- εR, εr, εL, εm, εg) (''4!#-$(:#'" $-% !'(&&-3! 3 # 6(3! ('3. /+($1 2).
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6 )&-. '+14(". $' !*3 &!" 3 9& (*)!#, &( / 1 -, $ 2(9- 6 0 !* 2 # -. *1+,#(#- "$+":#'" ($& # 4&-3!. 6 + &&- 1'- + $!" 72' !3 (, ! 2 # -. !*3 &!" "$+":#'" ($& # 4&-3!, )16 3 6+" 2 (#2 '#! &(*-$(#, .
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! ()' +:#&- / %& '#! a1 , a2 , … , am |
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39
. +() (# & 0 () # « *14 &! $"*2 '#! 9!62 '#!» -6 +" #'" $"*2 '#, $ 6& / ('#$ ( /+!5 !&( *1+,#(#(3 !*3 -&!" 1'#(& $!$% 0'" '2 '#! 6$!9 &!" # . %( !2 $ ' (*+!4&-3!(6!1'(3!. +14 &&- *&(4 &!" 6+" %( !2 $ (*& / (6!1'( & +,*" '4!#(#, ($& # 4&-3!. 9& '2(*(#,, 4# $ 6(&& 3 !3 3- +1- 4( 3 *1+,#(#- # 3" (*+!4&-3! 3 # 6(3!. '+ )-4& 0 ) () #- 2! # . / 1 *&(4 &!0 (6+" 2(96 / %( !2() )-+ +14 &- '+ 61:- ;! *&(4 &!" ' 6&!. '#(#!'#!4 '2!. ! ()' +:#&-. / %& '# 0 6+"
6 $ !# +,& 0 $ "#& '#! α = 0,95:
η1 = 0,557 ( ' ; |
η2 = 0,508 |
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η3 = 0,513 ( ' |
Δη1 = 0,039 ( ' ; |
Δη2 = 0,055 |
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Δη3 = 0,021 ( ' |
(''3(# !$( 3 3 !3 m = 3. ' +,*1" 8 31+- (4.3) ! (4.4), $-4!'+" 3 η = 0,521 ( ' ! Δη = 0,0304 ( '.
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40